Atkin-Lehner |
2- 3- 5+ 11+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
120450bz |
Isogeny class |
Conductor |
120450 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
2160000 |
Modular degree for the optimal curve |
Δ |
-9222894140625000 = -1 · 23 · 35 · 511 · 113 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5+ -5 11+ -5 7 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,3562,-4619508] |
[a1,a2,a3,a4,a6] |
j |
319873167719/590265225000 |
j-invariant |
L |
5.7198496993301 |
L(r)(E,1)/r! |
Ω |
0.19066165091516 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24090e1 |
Quadratic twists by: 5 |